What is the Least Common Multiple of 74475 and 74490?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74475 and 74490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74475 and 74490, than apply into the LCM equation.

GCF(74475,74490) = 15
LCM(74475,74490) = ( 74475 × 74490) / 15
LCM(74475,74490) = 5547642750 / 15
LCM(74475,74490) = 369842850

Least Common Multiple (LCM) of 74475 and 74490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74475 and 74490. First we will calculate the prime factors of 74475 and 74490.

Prime Factorization of 74475

Prime Factorization of 74490

Now multiplying the highest exponent prime factors to calculate the LCM of 74475 and 74490.

LCM(74475,74490) = 3² × 5² × 331¹ × 2¹ × 13¹ × 191¹
LCM(74475,74490) = 369842850